(3x^2)=(x^2+50)

Solution for (3x^2)=(x^2+50) equation:

Simplifying
(3x2) = (x2 + 50)

Reorder the terms:
(3x2) = (50 + x2)

Remove parenthesis around (50 + x2)
(3x2) = 50 + x2

Solving
(3x2) = 50 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x2' to each side of the equation.
(3x2) + -1x2 = 50 + x2 + -1x2

Combine like terms: (3x2) + -1x2 = 2x2
2x2 = 50 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2x2 = 50 + 0
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}